Question

1)Numbers $50,42,35,2x+10,2x-8,12,11,8$ are written in descending order and their median is $25$ find $x$.

2)Find the median of data: $15,6,16,8,22,21,9,18,25$.

3)Find the mean,median and mode of the data: $10,15,18,10,10,20,10,20,15,21,15,25$.

Answer 1

Numbers $50,42,35,2x+10,2x-8,12,11,8$

Medium is means middle.

So median is $25$ (given)

$\Rightarrow \frac{2x+102x-8}{2}=25$

$=\frac{4x+2}{2}=25$

$2x+1=25$

$x=12$

Median of $15,6,16,8,22,21,9,18,25?$

for median data should be arrenged in any order

So, $6,8,9,15,16,18,21,22,25$

median is $16$

Find mean, mode and median $,-10,15,18,10,10,20,10,20$

mode is $-10$ (most frequintly used)

mean $\frac{10+15+18+10+10+20+10+20+15+21+15+25}{12}$

$=\frac{189}{12}=15.75$

meadian $=15$